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Finding the Third Proportional to 47,597.63 and 104,537.53

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Solution

The third proportional to 47,597.63 and 104,537.53 is: 229,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,597.63 : 104,537.53 = 104,537.53 : x
  2. Step 2: Convert to fraction form
    47,597.63/104,537.53 = 104,537.53/x
  3. Step 3: Cross multiply
    47,597.63x = 104,537.53 × 104,537.53
  4. Step 4: Simplify right side
    47,597.63x = 10,928,095,439.84
  5. Step 5: Solve for x
    x = 10,928,095,439.84/47,597.63
  6. Step 6: Final answer
    x = 229,593.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.